685410967921680 has 11520 divisors, whose sum is σ = 3570392188846080. Its totient is φ = 113922455961600.

The previous prime is 685410967921661. The next prime is 685410967921733. The reversal of 685410967921680 is 86129769014586.

685410967921680 is a `hidden beast` number, since 6 + 8 + 5 + 410 + 9 + 67 + 92 + 1 + 68 + 0 = 666.

It is a super-2 number, since 2×685410967921680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 685410967921599 and 685410967921608.

It is an unprimeable number.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 11617135049491 + ... + 11617135049549.

It is an arithmetic number, because the mean of its divisors is an integer number (309929877504).

Almost surely, 2^{685410967921680} is an apocalyptic number.

685410967921680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685410967921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785196094423040).

685410967921680 is an abundant number, since it is smaller than the sum of its proper divisors (2884981220924400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

685410967921680 is a wasteful number, since it uses less digits than its factorization.

685410967921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 685410967921680 in words is "six hundred eighty-five trillion, four hundred ten billion, nine hundred sixty-seven million, nine hundred twenty-one thousand, six hundred eighty".